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research article
Regularity results for very degenerate elliptic equations
We consider a family of elliptic equations introduced in the context of traffic congestion. They have the form del . (del F(del u)) = f where F is a convex function which vanishes inside some convex set and is elliptic outside. Under some natural assumptions on F and f, we prove that the function del F(del u) is continuous in any dimension, extending a previous result valid only in dimension 2 (Santambrogio and Vespri, 2010 [14]).
Type
research article
Authors
Publication date
2014
Published in
Volume
101
Issue
1
Start page
94
End page
117
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 13, 2020
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